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Finding the Fourth Proportional to 263,393.38, 363,482.86 and 142,534.66

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Solution

The fourth proportional to 263,393.38, 363,482.86 and 142,534.66 is: 196,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,393.38 : 363,482.86 = 142,534.66 : x
  2. Step 2: Convert to fraction form
    263,393.38/363,482.86 = 142,534.66/x
  3. Step 3: Cross multiply
    263,393.38x = 363,482.86 × 142,534.66
  4. Step 4: Simplify right side
    263,393.38x = 51,808,906,128.13
  5. Step 5: Solve for x
    x = 51,808,906,128.13/263,393.38
  6. Step 6: Final answer
    x = 196,697.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.